PARALLEL LINES AND ANGLES

Angles at a point

The sum of the sizes of the angles at a point is 360°.

Adjacent Angles on a Straight Line

Two angles which have same vertex and share a common arm are called adjacent angles

∠PAQ and  ∠QAR are adjacent angles.

Vertically Opposite Angles

Vertically opposite angles are equal in size.

Corresponding Angles

When two lines are parallel lines are cut by a third line, the angles in corresponding positions are equal in size.

Alternate Angles

When two parallel lines are cut by a third line, then angles in alternate positions are equal in size.

Co Interior Angles

When two parallel lines are cut by a third line, co-interior angles are supplementary.

Co-interior are also called as consecutive interior angles.

Complementary and Supplementary Angles

Two angles are complementary, if the sum of their measures is equal to 90.

Two angles are supplementary angles if the sum of their measures is equal to 180 degrees.

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